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Simplifying 4(-2x + 9) = -2(-3x + -7) Reorder the terms: 4(9 + -2x) = -2(-3x + -7) (9 * 4 + -2x * 4) = -2(-3x + -7) (36 + -8x) = -2(-3x + -7) Reorder the terms: 36 + -8x = -2(-7 + -3x) 36 + -8x = (-7 * -2 + -3x * -2) 36 + -8x = (14 + 6x) Solving 36 + -8x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + -8x + -6x = 14 + 6x + -6x Combine like terms: -8x + -6x = -14x 36 + -14x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -14x = 14 + 0 36 + -14x = 14 Add '-36' to each side of the equation. 36 + -36 + -14x = 14 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = 14 + -36 -14x = 14 + -36 Combine like terms: 14 + -36 = -22 -14x = -22 Divide each side by '-14'. x = 1.571428571 Simplifying x = 1.571428571
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